List of top Questions asked in MHT CET- 2026

Identify the monomer used to prepare orlon.

If y = y(x) satisfies the differential equation \[ \left(\frac{2+\sin x}{1+y}\right)\frac{dy}{dx}=-\cos x \] and \( y(0)=2 \), then \( y\left(\frac{\pi}{2}\right) \) is equal to:

If \( h(x) = \sqrt{4f(x) + 3g(x)} \), \( f(1)=4 \), \( g(1)=3 \), \( f'(1)=3 \), \( g'(1)=4 \), then \( h'(1) \) is equal to:}

If \[ f(x)=\int \frac{x^2}{(1-x^2)(1+\sqrt{1-x^2})}\,dx \] and \( f(0)=2 \), then \( f\left(\frac12\right) \) is:

A gas occupies a volume of $4.2~dm^3$ at $101~kPa$ pressure. What volume will the gas occupy if the pressure is increased to $235~kPa$ keeping the temperature constant?

If \(A, B, C\) are vertices of a triangle with position vectors \(\vec{a}, \vec{b}, \vec{c}\) respectively, then find the position vector of the point \(D\) where the angle bisector from vertex \(A\) meets \(BC\).

The range of the function \[ y=\log(\sin x) \] where \( \sin x>0 \) is:

If \( y = \cos^{-1} x \), find \( \frac{d^2y}{dx^2} \) in terms of \( y \).

Which reagent is typically used in Rosenmund reduction to convert acyl chlorides to aldehydes?

What is the name for the movement of cytoplasm within a cell?

A disc of mass $M$ and radius $R$ has a concentric hole of radius $\dfrac{R}{2}$. Its moment of inertia about an axis passing through its center and perpendicular to its plane is:

Calculate the area of the region bounded by the curve \( y^2 = 4x \) and the line \( x = 3 \).

How many atoms are present in a unit cell of a body-centered cubic (BCC) lattice?

A ball is thrown upwards with a velocity of \(20\,m/s\). Find the maximum height reached \((g=10\,m/s^2)\).

What is the pH of a weak dibasic acid that is 2% dissociated in its M/100 solution at 298 K?

Calculate the moment of inertia for two spheres of radius \(10\,\text{cm}\) placed \(20\,\text{cm}\) apart.

The species-area relationship is represented on a log scale as

If \[ A= \begin{bmatrix} \sin\alpha & -\cos\alpha \cos\alpha & \sin\alpha \end{bmatrix} \] and \( \alpha\in\left(\frac{\pi}{2},\frac{3\pi}{2}\right) \). If \( A+A^T=I \), then \( \alpha= \)

A disc of mass \(M\) and radius \(R\) has a concentric hole of radius \(R/2\). Its moment of inertia about an axis passing through its center and perpendicular to its plane is:

At what temperature will the r.m.s. velocity of a hydrogen molecule be equal to that of an oxygen molecule at \(47^\circ\text{C}\)?

The ratio of specific heats $C_{p}/C_{v}$ for a mixture of 1 mole of helium and 1 mole of hydrogen is:

If \(y = f\left(\frac{3 + 2x}{3 - 2x}\right)\), where \(f(x) = \tan(\log x)\), and \(\frac{dy}{dx} = \frac{A}{B + Cx^2} \cdot \sec^2\left(\log \frac{3 + 2x}{3 - 2x}\right)\), then find \(A, B, C\).

If \(n\) is an odd natural number and \[ I_n=\int_0^1 e^x(x-1)^n\,dx \] then \( I_n+nI_{n-1} \) is equal to:

A metal has BCC structure. Atomic radius \(=173\,\text{pm}\) and molar mass \(M=56\,\text{g mol}^{-1}\). The density of the metal is:

The rms velocity of hydrogen molecules at 27°C is v. At what temperature will the rms velocity of oxygen molecules equal v ?